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21 January, 09:27

Students at a high school were asked about their favorite outdoor activity. The results are shown in the two-way frequency table below.

Fishing Camping Canoeing Skiing Total

Boys 36 44 13 25 118

Girls 34 37 22 20 113

Total 70 81 35 45 231

Select all the statements that are true based on the given table.

More girls chose camping as their favorite outdoor activity than boys.

More girls chose canoeing as their favorite outdoor activity than those who chose skiing.

More boys chose skiing as their favorite outdoor activity than girls.

There were more boys surveyed than girls.

Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.

More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

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Answers (2)
  1. 21 January, 10:15
    0
    Answer with Explanation:

    Statement 1: →More girls chose camping as their favorite outdoor activity than boys.

    Number of boys who chose camping as outdoor activity = 36

    Number of girls who chose camping as outdoor activity = 34

    →34<36

    →Incorrect Statement

    Statement 2: →More girls chose canoeing as their favorite outdoor activity than those who chose skiing.

    Number of girls who chose canoeing as their outdoor activity = 22

    Number of girls who chose Skiing as outdoor activity = 20

    →22>20

    →True Statement

    Statement 3: →More boys chose skiing as their favorite outdoor activity than girls.

    Number of boys who chose skiing as outdoor activity = 25

    Number of girls who chose skiing as outdoor activity = 20

    →25>20

    →True Statement

    Statement 4: →There were more boys surveyed than girls.

    Number of boys Surveyed = 118

    Number of girls Surveyed = 113

    →118>113

    →True Statement

    Statement 5: →Twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing.

    Number of students who chose canoeing as their favorite outdoor activity=13+22=35

    Number of students who chose fishing as their favorite outdoor activity=36+34=70

    →Number of students who chose canoeing * 2=35 * 2=70

    →True Statement

    Statement 6:→More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

    Number of students who chose camping as their favorite outdoor activity=44+37=81

    Number of students who chose canoeing or skiing as their favorite outdoor activity=13+25+22+20=80

    →81>80

    →True Statement

    Statement, 2,3,4,5 and 6 are true statement.
  2. 21 January, 13:00
    0
    More girls chose canoeing as their favorite outdoor activity than those who chose skiing.

    More boys chose skiing as their favorite outdoor activity than girls.

    There were more boys surveyed than girls.

    More students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

    Step-by-step explanation:

    The last answer:-

    Number choosing camping = 81 and the number choosing canoeing or fishing = 35 + 45 = 80.
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